Note: If matter does not couple to the connection (e.g. classical perfect fluid with no inner structure) we have that \(\Theta _{\lambda }^{\;\;\mu \nu }=0\)  as well as \( \Delta _{\lambda }^{\;\;\mu \nu }=0\)  and \(M_{\lambda }^{\;\;\mu \nu \alpha }\) . The above set of field equations constitutes an extended (with the divergence of dilation included) Metric-Affine version of the Myrzakulov gravities [1]}. Here we derived the field equations with no restriction on the connection and also for the extended case \(F(R,T,Q,{\cal T}, D)\) . In the sequel we shall analyse further the linear case \(F=R+\beta T+\gamma Q+\mu {\cal T}+\nu {\cal D}\)  and also touch upon cosmological applications.
